Complex Numbers And Quadratic Equations question 608
Question: Product of real roots of the equation $ t^{2}x^{2}+|x|+9=0 $ [AIEEE 2002]
Options:
A) Is always positive
B) Is always negative
C) Does not exist
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Note that for $ t\in R,t^{2}x^{2}+|x|+9\ge 9 $ and hence the given equation cannot have real roots.